AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

Mathematical foundations of Analytical Mechanics. Dynamics of constrained system, with applications to the study of the hydrostatic and hydrodynamic effects on a rigid body moving in a surrounding fluid.

TEACHING METHODS

Frontal lectures.

SYLLABUS/CONTENT

1. Geometry of constrained systems. Positional and kinetic constraints; holonomic systems. Configuration space-time, velocity space. Constitutive characterization of the reactive forces. Ideal constraints.
2. Lagrange equations. Cauchy problem and mechanical determinism. Ordinary and generalized potentials. First integrals. Relative Mechanics, apparent forces. Generalized velocities.
3. Equilibrium of holonomic systems. Stability and pseudo-stability. Small oscillations
4. Immersed rigid body dynamics. Tait-Bryan angles, Kirchhoff equations. Pseudo-stability of the equilibrium configuration and small motions of a floating body in calm water. Hydrodynamic pressure; added mass coefficients.

RECOMMENDED READING/BIBLIOGRAPHY

1. Lecture notes by the teacher;
2. Goldstein H., Pool C., Safko J. "Meccanica Classica". Zanichelli (2005);
3. Lewandowski E.M. “The dynamics of marine craft”;
4. Newman J.N. ”Marine hydrodynamics”

TEACHERS AND EXAM BOARD

Exam Board

PATRIZIA BAGNERINI (President)

ANGELO ALESSANDRI (President Substitute)

ENRICO MASSA (President Substitute)

LESSONS

LESSONS START

According to the academic schedule

EXAMS

EXAM DESCRIPTION

Oral examination

ASSESSMENT METHODS

Check of a reasonable acquaintance with the subject, possibly, through the solution of simple practical problems.

Exam schedule